Least Common Multiple of 8085 and 8092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8085 and 8092 the smallest integer that is 9346260 that is divisible by both numbers.

Least Common Multiple (LCM) of 8085 and 8092 is 9346260.

LCM(8085,8092) = 9346260

LCM of 8085 and 8092

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8085 and 8092

LCM of 8085 and 8092 is 9346260

Least common multiple can be found by multiplying the highest exponent prime factors of 8085 and 8092. First we will calculate the prime factors of 8085 and 8092.

Prime Factorization of 8085


3 8085
5 2695
7 539
7 77
11 11
1

Prime factors of 8085 are 3, 5, 7,11. Prime factorization of 8085 in exponential form is:

8085 = 31×51×72×111

Prime Factorization of 8092


2 8092
2 4046
7 2023
17 289
17 17
1

Prime factors of 8092 are 2, 7,17. Prime factorization of 8092 in exponential form is:

8092 = 22×71×172

Now multiplying the highest exponent prime factors to calculate the LCM of 8085 and 8092.

LCM(8085,8092) = 22×31×51×72×111×172
LCM(8085,8092) = 9346260

Factors of 8085

List of positive integer factors of 8085 that divides 8085 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695, 8085

Factors of 8092

List of positive integer factors of 8092 that divides 8092 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092

Least Common Multiple of 8085 and 8092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8085 and 8092, than apply into the LCM equation.

GCF(8085,8092) = 7
LCM(8085,8092) = ( 8085 × 8092) / 7
LCM(8085,8092) = 65423820 / 7
LCM(8085,8092) = 9346260

Properties of LCM 8085 and 8092

(i) The LCM of 8092 and 8085 is associative

LCM of 8085 and 8092 = LCM of 8092 and 8085

Related Least Common Multiples of 8085

Related Least Common Multiples of 8092

Frequently Asked Questions on LCM of 8085 and 8092

1. What is the LCM of 8085 and 8092?

Answer: LCM of 8085 and 8092 is 9346260.

2. What are the Factors of 8085?

Answer: Factors of 8085 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695, 8085. There are 24 integers that are factors of 8085. The greatest factor of 8085 is 8085.

3. What are the Factors of 8092?

Answer: Factors of 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092. There are 18 integers that are factors of 8092. The greatest factor of 8092 is 8092.

4. How to Find the LCM of 8085 and 8092?

Answer:

Least Common Multiple of 8085 and 8092 = 9346260

Step 1: Find the prime factorization of 8085

8085 = 3 x 5 x 7 x 7 x 11

Step 2: Find the prime factorization of 8092

8092 = 2 x 2 x 7 x 17 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 9346260 = 2 x 2 x 3 x 5 x 7 x 7 x 11 x 17 x 17

Step 4: Therefore, the least common multiple of 8085 and 8092 is 9346260.